Dogan, Abdulkadir2019-07-052019-07-052017ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS Article Number: 371072-6691Accession Number: WOS:000394138500002Article Number: 37http://acikerisim.agu.edu.tr/xmlui/handle/20.500.12573/71In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results.enginfo:eu-repo/semantics/openAccessTime scalessingular multi-point dynamic equationseigenvalue problemsGreen's functionpositive solutionsfixed point index theoryarticle